2023
| | December 31, 2022 | | | | | | | | |
Dividend yield | | | N/A | | | | N/A | |
Risk-free interest rate | | | 1.16% | | | | 1.16% | |
Expected term (in years) | | | 4.31 | | | | 4.31 | |
Volatility | | | 48.15% | | | | 48.15% | |
The Company estimated the grant date fair value of time-based stock option awards using the Black-Scholes option valuation model, which requires assumptions involving an estimate of the fair value of the underlying common stock on the date of grant, the expected term of the options, volatility, discount rate and dividend yield. The Company calculated expected option terms based on the “simplified” method for “plain vanilla” options due to the limited exercise information. The “simplified method” calculates the expected term as the average of the vesting term and the original contractual term of the options. The Company calculated volatility using the average adjusted volatility of quick companies feature of Capital IQ for a period of time reflective of the expected option term, while the discount rate was estimated using the interest rate for a treasury note with the same contractual term as the options granted. Dividend yield is estimated at our current dividend rate, which adjusts for any known future changes in the rate.
For the six months ended June 30, 2023 and year ended December 31, 2022, $709,376 and $6,638,371 share-based compensation expenses was recognized into additional paid-in capital of the Company, respectively.
As of December 31, 2022, total unrecognized compensation cost related to unvested share-based compensation awards was $11,114,097. This amount is expected to be recognized as stock-based compensation expense in the Company’s consolidated statements of operations and comprehensive income over the remaining vesting period of 1.99 years.
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